for some \(v\)  and \(b\) , and all \({\gamma } \le 1/b\) .

The class of distributions with subexponential tail behaviour supersedes the class of light-tailed distributions. Thus, Assumption REF  is a relaxation of those made in existing works that assumes the delays have light-tails beyond some known point on the support [1]}. The subexponential assumption is also broad enough to include many heavy-tailed distributions, such as the \(\chi ^{2}\)  and Exponential distributions. Importantly, Assumption REF  also agrees with the empirical evidence suggesting that the delays have Exponential-like tails in practice [2]}.
